Question

Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)

Answer 1

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Step-by-step explanation:

Given equation of line is:

$y=-0.75x$

The coefficient of x is the slope of the line so the slope of given line is: -0.75

As parallel lines have equal slopes so the required equation of line will have the same slope.

The slope-intercept form is:

$y = mx+b$

Putting the value of the slope

$y = -0.75x+b$

To find the value of b, putting the point in the equation

$0 = -0.75(8)+b\\0 = -6+b\\b = 6$

Putting the values of m and b, we get

$y = -0.75x-6$

Hence,

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Keywords: Equation of line, Slope-intercept form

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